440056451102320 has 320 divisors, whose sum is σ = 1159744291614720. Its totient is φ = 154209126150144.

The previous prime is 440056451102249. The next prime is 440056451102327. The reversal of 440056451102320 is 23201154650044.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 440056451102320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440056451102327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251441317 + ... + 253185403.

It is an arithmetic number, because the mean of its divisors is an integer number (3624200911296).

Almost surely, 2^{440056451102320} is an apocalyptic number.

440056451102320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440056451102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579872145807360).

440056451102320 is an abundant number, since it is smaller than the sum of its proper divisors (719687840512400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

440056451102320 is a wasteful number, since it uses less digits than its factorization.

440056451102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744312 (or 1744306 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 440056451102320 in words is "four hundred forty trillion, fifty-six billion, four hundred fifty-one million, one hundred two thousand, three hundred twenty".